Move operations to Field

Implement the TODOs and move `from_noncanonical_u64` and `from_noncanonical_i64` from `Field64` to `Field`.
This commit is contained in:
Matthias Goergens 2023-06-12 10:08:30 +08:00
parent 3de92d9ed1
commit 6122dccb6e
2 changed files with 36 additions and 24 deletions

View File

@ -118,22 +118,6 @@ impl Field for GoldilocksField {
reduce128(n)
}
#[inline]
fn multiply_accumulate(&self, x: Self, y: Self) -> Self {
// u64 + u64 * u64 cannot overflow.
reduce128((self.0 as u128) + (x.0 as u128) * (y.0 as u128))
}
}
impl PrimeField for GoldilocksField {
fn to_canonical_biguint(&self) -> BigUint {
self.to_canonical_u64().into()
}
}
impl Field64 for GoldilocksField {
const ORDER: u64 = 0xFFFFFFFF00000001;
#[inline]
fn from_noncanonical_u64(n: u64) -> Self {
Self(n)
@ -151,6 +135,22 @@ impl Field64 for GoldilocksField {
})
}
#[inline]
fn multiply_accumulate(&self, x: Self, y: Self) -> Self {
// u64 + u64 * u64 cannot overflow.
reduce128((self.0 as u128) + (x.0 as u128) * (y.0 as u128))
}
}
impl PrimeField for GoldilocksField {
fn to_canonical_biguint(&self) -> BigUint {
self.to_canonical_u64().into()
}
}
impl Field64 for GoldilocksField {
const ORDER: u64 = 0xFFFFFFFF00000001;
#[inline]
unsafe fn add_canonical_u64(&self, rhs: u64) -> Self {
let (res_wrapped, carry) = self.0.overflowing_add(rhs);

View File

@ -341,6 +341,26 @@ pub trait Field:
/// Returns `n % Self::characteristic()`.
fn from_noncanonical_u128(n: u128) -> Self;
/// Returns `x % Self::CHARACTERISTIC`.
///
/// Implemented by default via `from_noncanonical_u128`
/// Override, if you have a faster implementation for your field.
fn from_noncanonical_u64(n: u64) -> Self {
Self::from_noncanonical_u128(n as u128)
}
/// Returns `n` as an element of this field.
///
/// Implemented by default via `from_noncanonical_u128` and case analysis.
/// Override, if you have a faster implementation for your field.
fn from_noncanonical_i64(n: i64) -> Self {
if n < 0 {
-Self::from_noncanonical_u128((n as i128).unsigned_abs())
} else {
Self::from_noncanonical_u128(n as u128)
}
}
/// Returns `n % Self::characteristic()`. May be cheaper than from_noncanonical_u128 when we know
/// that `n < 2 ** 96`.
#[inline]
@ -501,14 +521,6 @@ pub trait PrimeField: Field {
pub trait Field64: Field {
const ORDER: u64;
/// Returns `x % Self::CHARACTERISTIC`.
// TODO: Move to `Field`.
fn from_noncanonical_u64(n: u64) -> Self;
/// Returns `n` as an element of this field.
// TODO: Move to `Field`.
fn from_noncanonical_i64(n: i64) -> Self;
/// Returns `n` as an element of this field. Assumes that `0 <= n < Self::ORDER`.
// TODO: Move to `Field`.
// TODO: Should probably be unsafe.